New insights in Huber and TV-like regularizers in microwave imaging

Author

Funing Bai ; Pizurica, Aleksandra ; Franchois, Ann ; Philips, Wilfried

Author_Institution

Dept. of Telecommun. & Inf. Process. (IPI-TELIN-iMinds), Ghent Univ., Ghent, Belgium

fYear

2013

fDate

15-18 Sept. 2013

Firstpage

1026

Lastpage

1030

Abstract

In this paper we give new insights into quantitative microwave tomography with robust Huber regularizer and Gauss-Newton optimization. Firstly, we validate this approach for the first time on real electromagnetic measurements. Secondly, we extend the framework with a modified Huber function, which behaves like TV regularization. This is interesting for reconstructing piece-wise constant permittivities that appear in non-destructive testing of installations and other man-made objects.

Keywords

Newton method; electromagnetic wave scattering; microwave imaging; optimisation; tomography; Gauss-Newton optimization; TV-like regularizers; microwave imaging; modified Huber function; nondestructive testing; piecewise constant permittivity reconstruction; quantitative microwave tomography; real electromagnetic measurements; robust Huber regularizer; Image reconstruction; Inverse problems; Microwave imaging; Microwave measurement; Permittivity; TV; Huber function; inverse problem; inverse scattering; microwave imaging; sparsity;

fLanguage

English

Publisher

ieee

Conference_Titel

Image Processing (ICIP), 2013 20th IEEE International Conference on

Conference_Location

Melbourne, VIC

Type

conf

DOI

10.1109/ICIP.2013.6738212

Filename

6738212